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10212199074 = 23272117314419
BaseRepresentation
bin10011000001011000…
…11100101010100010
3222100201001110112100
421200230130222202
5131403310332244
64405202511230
7511032155100
oct114054345242
928321043470
1010212199074
11437057a350
121b90065516
13c6995625c
146cc3dcc70
153eb826b69
hex260b1caa2

10212199074 has 144 divisors (see below), whose sum is σ = 28465426080. Its totient is φ = 2616001920.

The previous prime is 10212199073. The next prime is 10212199079. The reversal of 10212199074 is 47099121201.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10212199073) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 701037 + ... + 715455.

It is an arithmetic number, because the mean of its divisors is an integer number (197676570).

Almost surely, 210212199074 is an apocalyptic number.

10212199074 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212199074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14232713040).

10212199074 is an abundant number, since it is smaller than the sum of its proper divisors (18253227006).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10212199074 is a wasteful number, since it uses less digits than its factorization.

10212199074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14525 (or 14515 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 10212199074 in words is "ten billion, two hundred twelve million, one hundred ninety-nine thousand, seventy-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 73 77 98 99 126 146 147 154 198 219 231 294 438 441 462 511 539 657 693 803 882 1022 1078 1314 1386 1533 1606 1617 2409 3066 3234 3577 4599 4818 4851 5621 7154 7227 9198 9702 10731 11242 14419 14454 16863 21462 28838 32193 33726 39347 43257 50589 64386 78694 86514 100933 101178 118041 129771 158609 201866 236082 259542 302799 317218 354123 475827 605598 706531 708246 908397 951654 1052587 1110263 1413062 1427481 1816794 2105174 2119593 2220526 2854962 3157761 3330789 4239186 6315522 6358779 6661578 7368109 7771841 9473283 9992367 11578457 12717558 14736218 15543682 18946566 19984734 22104327 23156914 23315523 34735371 44208654 46631046 51576763 66312981 69470742 69946569 81049199 103153526 104206113 132625962 139893138 154730289 162098398 208412226 243147597 309460578 464190867 486295194 567344393 729442791 928381734 1134688786 1458885582 1702033179 3404066358 5106099537 10212199074